TSTP Solution File: SET762+4 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET762+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 09:08:20 EDT 2024
% Result : Theorem 0.52s 0.74s
% Output : Refutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 43 ( 7 unt; 0 def)
% Number of atoms : 118 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 119 ( 44 ~; 36 |; 24 &)
% ( 7 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 3 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 79 ( 65 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f115,plain,
$false,
inference(avatar_sat_refutation,[],[f101,f106,f114]) ).
fof(f114,plain,
spl6_2,
inference(avatar_contradiction_clause,[],[f113]) ).
fof(f113,plain,
( $false
| spl6_2 ),
inference(subsumption_resolution,[],[f112,f70]) ).
fof(f70,plain,
! [X0] : ~ member(X0,empty_set),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] : ~ member(X0,empty_set),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X2] : ~ member(X2,empty_set),
file('/export/starexec/sandbox/tmp/tmp.CjO0QNTCY4/Vampire---4.8_4996',empty_set) ).
fof(f112,plain,
( member(sK5(empty_set,image2(sK0,empty_set)),empty_set)
| spl6_2 ),
inference(resolution,[],[f100,f80]) ).
fof(f80,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK5(X0,X1),X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK5(X0,X1),X1)
& member(sK5(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f61,f62]) ).
fof(f62,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
=> ( ~ member(sK5(X0,X1),X1)
& member(sK5(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.CjO0QNTCY4/Vampire---4.8_4996',subset) ).
fof(f100,plain,
( ~ subset(empty_set,image2(sK0,empty_set))
| spl6_2 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f98,plain,
( spl6_2
<=> subset(empty_set,image2(sK0,empty_set)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f106,plain,
spl6_1,
inference(avatar_contradiction_clause,[],[f105]) ).
fof(f105,plain,
( $false
| spl6_1 ),
inference(subsumption_resolution,[],[f104,f70]) ).
fof(f104,plain,
( member(sK4(sK0,empty_set,sK5(image2(sK0,empty_set),empty_set)),empty_set)
| spl6_1 ),
inference(resolution,[],[f74,f102]) ).
fof(f102,plain,
( member(sK5(image2(sK0,empty_set),empty_set),image2(sK0,empty_set))
| spl6_1 ),
inference(resolution,[],[f96,f80]) ).
fof(f96,plain,
( ~ subset(image2(sK0,empty_set),empty_set)
| spl6_1 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f94,plain,
( spl6_1
<=> subset(image2(sK0,empty_set),empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f74,plain,
! [X2,X0,X1] :
( ~ member(X2,image2(X0,X1))
| member(sK4(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1,X2] :
( ( member(X2,image2(X0,X1))
| ! [X3] :
( ~ apply(X0,X3,X2)
| ~ member(X3,X1) ) )
& ( ( apply(X0,sK4(X0,X1,X2),X2)
& member(sK4(X0,X1,X2),X1) )
| ~ member(X2,image2(X0,X1)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f56,f57]) ).
fof(f57,plain,
! [X0,X1,X2] :
( ? [X4] :
( apply(X0,X4,X2)
& member(X4,X1) )
=> ( apply(X0,sK4(X0,X1,X2),X2)
& member(sK4(X0,X1,X2),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
! [X0,X1,X2] :
( ( member(X2,image2(X0,X1))
| ! [X3] :
( ~ apply(X0,X3,X2)
| ~ member(X3,X1) ) )
& ( ? [X4] :
( apply(X0,X4,X2)
& member(X4,X1) )
| ~ member(X2,image2(X0,X1)) ) ),
inference(rectify,[],[f55]) ).
fof(f55,plain,
! [X0,X1,X2] :
( ( member(X2,image2(X0,X1))
| ! [X3] :
( ~ apply(X0,X3,X2)
| ~ member(X3,X1) ) )
& ( ? [X3] :
( apply(X0,X3,X2)
& member(X3,X1) )
| ~ member(X2,image2(X0,X1)) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2] :
( member(X2,image2(X0,X1))
<=> ? [X3] :
( apply(X0,X3,X2)
& member(X3,X1) ) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X5,X0,X4] :
( member(X4,image2(X5,X0))
<=> ? [X2] :
( apply(X5,X2,X4)
& member(X2,X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.CjO0QNTCY4/Vampire---4.8_4996',image2) ).
fof(f101,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f92,f98,f94]) ).
fof(f92,plain,
( ~ subset(empty_set,image2(sK0,empty_set))
| ~ subset(image2(sK0,empty_set),empty_set) ),
inference(resolution,[],[f69,f68]) ).
fof(f68,plain,
~ equal_set(image2(sK0,empty_set),empty_set),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( ~ equal_set(image2(sK0,empty_set),empty_set)
& maps(sK0,sK1,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f45,f51]) ).
fof(f51,plain,
( ? [X0,X1,X2] :
( ~ equal_set(image2(X0,empty_set),empty_set)
& maps(X0,X1,X2) )
=> ( ~ equal_set(image2(sK0,empty_set),empty_set)
& maps(sK0,sK1,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
? [X0,X1,X2] :
( ~ equal_set(image2(X0,empty_set),empty_set)
& maps(X0,X1,X2) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
~ ! [X0,X1,X2] :
( maps(X0,X1,X2)
=> equal_set(image2(X0,empty_set),empty_set) ),
inference(rectify,[],[f30]) ).
fof(f30,negated_conjecture,
~ ! [X5,X0,X1] :
( maps(X5,X0,X1)
=> equal_set(image2(X5,empty_set),empty_set) ),
inference(negated_conjecture,[],[f29]) ).
fof(f29,conjecture,
! [X5,X0,X1] :
( maps(X5,X0,X1)
=> equal_set(image2(X5,empty_set),empty_set) ),
file('/export/starexec/sandbox/tmp/tmp.CjO0QNTCY4/Vampire---4.8_4996',thIIa12) ).
fof(f69,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(flattening,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( ( subset(X1,X0)
& subset(X0,X1) )
=> equal_set(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( equal_set(X0,X1)
<=> ( subset(X1,X0)
& subset(X0,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.CjO0QNTCY4/Vampire---4.8_4996',equal_set) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET762+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 0.10/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36 % Computer : n018.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 16:33:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.CjO0QNTCY4/Vampire---4.8_4996
% 0.52/0.74 % (5107)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.52/0.74 % (5110)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.52/0.74 % (5109)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.52/0.74 % (5112)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.52/0.74 % (5111)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.52/0.74 % (5108)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.52/0.74 % (5113)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.52/0.74 % (5114)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.52/0.74 % (5112)Refutation not found, incomplete strategy% (5112)------------------------------
% 0.52/0.74 % (5112)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.74 % (5112)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.74
% 0.52/0.74 % (5112)Memory used [KB]: 1048
% 0.52/0.74 % (5112)Time elapsed: 0.003 s
% 0.52/0.74 % (5112)Instructions burned: 2 (million)
% 0.52/0.74 % (5114)Refutation not found, incomplete strategy% (5114)------------------------------
% 0.52/0.74 % (5114)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.74 % (5114)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.74
% 0.52/0.74 % (5114)Memory used [KB]: 1051
% 0.52/0.74 % (5114)Time elapsed: 0.003 s
% 0.52/0.74 % (5114)Instructions burned: 3 (million)
% 0.52/0.74 % (5112)------------------------------
% 0.52/0.74 % (5112)------------------------------
% 0.52/0.74 % (5114)------------------------------
% 0.52/0.74 % (5114)------------------------------
% 0.52/0.74 % (5113)Also succeeded, but the first one will report.
% 0.52/0.74 % (5109)First to succeed.
% 0.52/0.74 % (5111)Refutation not found, incomplete strategy% (5111)------------------------------
% 0.52/0.74 % (5111)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.74 % (5111)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.74
% 0.52/0.74 % (5111)Memory used [KB]: 1134
% 0.52/0.74 % (5111)Time elapsed: 0.004 s
% 0.52/0.74 % (5111)Instructions burned: 5 (million)
% 0.52/0.74 % (5111)------------------------------
% 0.52/0.74 % (5111)------------------------------
% 0.52/0.74 % (5109)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-5106"
% 0.52/0.74 % (5109)Refutation found. Thanks to Tanya!
% 0.52/0.74 % SZS status Theorem for Vampire---4
% 0.52/0.74 % SZS output start Proof for Vampire---4
% See solution above
% 0.52/0.75 % (5109)------------------------------
% 0.52/0.75 % (5109)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.75 % (5109)Termination reason: Refutation
% 0.52/0.75
% 0.52/0.75 % (5109)Memory used [KB]: 1087
% 0.52/0.75 % (5109)Time elapsed: 0.004 s
% 0.52/0.75 % (5109)Instructions burned: 5 (million)
% 0.52/0.75 % (5106)Success in time 0.368 s
% 0.52/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------